Rangers boss Walter Smith admitted his team underperformed, but does not expect events at Fir Park to have any bearing on Tuesday's Champions League match against French champions Lyon, a clash in which they will be without star striker Jean Claude-Darcheville who came off with a hamstring injury.
"Champions League games are played in a totally different manner from that game out there today," said Smith. "We have showed that we can handle both if we apply ourselves properly.
"We didn't do that in the first half but we did it in the second half. While disappointed overall with our level of football, at least we applied a fair amount of pressure in the second half which from our point of view was more pleasing."
He added: "You've got to give Motherwell a bit of credit for their first half performance. Motherwell played extremely well. You've got to credit the opposition at times and I don't think we do that often enough."
Referee Craig Thomson pointed to the spot when Darcheville's replacement, DaMarcus Beasley, was felled by Keith Lasley but the post-match analysis was dominated by the two penalties he did not award.
Smith believes Rangers had a decent shout ignored when Boyd went to ground under pressure from Mark Reynolds, while Motherwell boss Mark McGhee insists David Clarkson was fouled by Steven Naismith when his side were still leading 1-0.
"I was disappointed we didn't get another penalty," said Smith. "I felt we had one before the one we got. It was very similar to the claim that Motherwell made.
"I don't think there was any argument about the penalty that we did get.
"DaMarcus Beasley was about to cross the ball, contact was made and he went down. From our point of view, I felt it was the proper decision."